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14244344100 = 223552731709
BaseRepresentation
bin11010100010000011…
…10111000100100100
31100202201020122200000
431101001313010210
5213133023002400
610313241421300
71012662633000
oct152101670444
940681218600
1014244344100
11604a619608
12291649a830
13146012109c
14991b1d700
155857eb600
hex351077124

14244344100 has 432 divisors, whose sum is σ = 54027792000. Its totient is φ = 3253944960.

The previous prime is 14244344069. The next prime is 14244344111. The reversal of 14244344100 is 144344241.

14244344100 is a `hidden beast` number, since 1 + 4 + 244 + 3 + 4 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8334046 + ... + 8335754.

Almost surely, 214244344100 is an apocalyptic number.

14244344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013896000).

14244344100 is an abundant number, since it is smaller than the sum of its proper divisors (39783447900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14244344100 is a wasteful number, since it uses less digits than its factorization.

14244344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14244344100 its reverse (144344241), we get a palindrome (14388688341).

The spelling of 14244344100 in words is "fourteen billion, two hundred forty-four million, three hundred forty-four thousand, one hundred".